Finite Group DatabasebetaFinite Group DatabasebetaOrder 38656.
522 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 142 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #2112×C151 | C2 | semidirect |
| 3. #1315×C151 | C2 | semidirect |
| 13. C22⋊C16×C151 | C22 | semidirect |
| 137. #11421 | C151 | direct (N × H) |
| 138. C151 | #11421 | direct (N × H) |
| 140. #2112 | C2×C151 | semidirect |
| 141. #1315 | C2×C151 | semidirect |
| 151. C22⋊C16 | C22×C151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#408×C151 | 2 |
| #2112×C151 | 2 |
| #1315×C151 | 2 |
| #11421 | 151 |